100142531540 has 24 divisors (see below), whose sum is σ = 210412397832. Its totient is φ = 40035473280.

The previous prime is 100142531527. The next prime is 100142531543. The reversal of 100142531540 is 45135241001.

100142531540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 638876176 + 99503655364 = 25276^2 + 315442^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100142531543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1308059 + ... + 1382498.

It is an arithmetic number, because the mean of its divisors is an integer number (8767183243).

Almost surely, 2^100142531540 is an apocalyptic number.

100142531540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100142531540 is an abundant number, since it is smaller than the sum of its proper divisors (110269866292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100142531540 is a wasteful number, since it uses less digits than its factorization.

100142531540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692427 (or 2692425 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 100142531540 its reverse (45135241001), we get a palindrome (145277772541).

The spelling of 100142531540 in words is "one hundred billion, one hundred forty-two million, five hundred thirty-one thousand, five hundred forty".